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Finding the Fourth Proportional to 346,147.43, 477,683.89 and 193,185.61

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Solution

The fourth proportional to 346,147.43, 477,683.89 and 193,185.61 is: 266,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,147.43 : 477,683.89 = 193,185.61 : x
  2. Step 2: Convert to fraction form
    346,147.43/477,683.89 = 193,185.61/x
  3. Step 3: Cross multiply
    346,147.43x = 477,683.89 × 193,185.61
  4. Step 4: Simplify right side
    346,147.43x = 92,281,651,999.65
  5. Step 5: Solve for x
    x = 92,281,651,999.65/346,147.43
  6. Step 6: Final answer
    x = 266,596.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.